A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences
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Date
2021
Authors
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Publisher
Emrah Evren KARA
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In this study, a special lower triangular matrix derived by combining Riesz matrix and Euler totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators are characterized. Finally by the aid of measure of non-compactness, the conditions for which a matrix operator on these spaces is compact are determined.
Description
Keywords
sequence spaces|$\alpha-$|$\beta-$|$\gamma-$duals|Matrix mappings|Hausdorff measure of non-compactness|Compact operators
Journal or Series
Communications in Advanced Mathematical Sciences
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Volume
4
Issue
1
